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Finding the Third Proportional to 445,986 and 635,761

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Solution

The third proportional to 445,986 and 635,761 is: 906,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,986 : 635,761 = 635,761 : x
  2. Step 2: Convert to fraction form
    445,986/635,761 = 635,761/x
  3. Step 3: Cross multiply
    445,986x = 635,761 × 635,761
  4. Step 4: Simplify right side
    445,986x = 404,192,049,121
  5. Step 5: Solve for x
    x = 404,192,049,121/445,986
  6. Step 6: Final answer
    x = 906,288.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.